TSTP Solution File: CSR042+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR042+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 04:57:57 EDT 2024

% Result   : Theorem 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   5 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   30 (  13   ~;   8   |;   1   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   13 (  10   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6007,plain,
    $false,
    inference(avatar_sat_refutation,[],[f3963,f4063,f6006]) ).

fof(f6006,plain,
    ~ spl0_51,
    inference(avatar_contradiction_clause,[],[f6005]) ).

fof(f6005,plain,
    ( $false
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f6004,f2687]) ).

fof(f2687,plain,
    ! [X0] : ~ borderson(X0,c_georegion_l4_x27_y64),
    inference(cnf_transformation,[],[f1889]) ).

fof(f1889,plain,
    ! [X0] :
      ( ~ borderson(X0,c_georegion_l4_x27_y64)
      & mtvisible(c_tptpgeo_member7_mt) ),
    inference(ennf_transformation,[],[f1134]) ).

fof(f1134,plain,
    ~ ? [X0] :
        ( mtvisible(c_tptpgeo_member7_mt)
       => borderson(X0,c_georegion_l4_x27_y64) ),
    inference(rectify,[],[f1133]) ).

fof(f1133,negated_conjecture,
    ~ ? [X4] :
        ( mtvisible(c_tptpgeo_member7_mt)
       => borderson(X4,c_georegion_l4_x27_y64) ),
    inference(negated_conjecture,[],[f1132]) ).

fof(f1132,conjecture,
    ? [X4] :
      ( mtvisible(c_tptpgeo_member7_mt)
     => borderson(X4,c_georegion_l4_x27_y64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query92) ).

fof(f6004,plain,
    ( borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64)
    | ~ spl0_51 ),
    inference(resolution,[],[f3649,f3962]) ).

fof(f3962,plain,
    ( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f3960]) ).

fof(f3960,plain,
    ( spl0_51
  <=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f3649,plain,
    ! [X0,X1] :
      ( ~ borderson(X0,X1)
      | borderson(X1,X0) ),
    inference(cnf_transformation,[],[f2580]) ).

fof(f2580,plain,
    ! [X0,X1] :
      ( borderson(X1,X0)
      | ~ borderson(X0,X1) ),
    inference(ennf_transformation,[],[f1686]) ).

fof(f1686,plain,
    ! [X0,X1] :
      ( borderson(X0,X1)
     => borderson(X1,X0) ),
    inference(rectify,[],[f900]) ).

fof(f900,axiom,
    ! [X12,X13] :
      ( borderson(X12,X13)
     => borderson(X13,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_900) ).

fof(f4063,plain,
    spl0_48,
    inference(avatar_split_clause,[],[f2686,f3946]) ).

fof(f3946,plain,
    ( spl0_48
  <=> mtvisible(c_tptpgeo_member7_mt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2686,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(cnf_transformation,[],[f1889]) ).

fof(f3963,plain,
    ( ~ spl0_48
    | spl0_51 ),
    inference(avatar_split_clause,[],[f2994,f3960,f3946]) ).

fof(f2994,plain,
    ( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(cnf_transformation,[],[f1922]) ).

fof(f1922,plain,
    ( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(ennf_transformation,[],[f122]) ).

fof(f122,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_122) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CSR042+2 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n012.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 20:11:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (11820)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40  % (11821)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.40  % (11823)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.40  % (11822)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.40  % (11824)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.40  % (11825)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.40  % (11826)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.40  % (11827)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.42  TRYING [1]
% 0.21/0.43  TRYING [2]
% 0.21/0.43  TRYING [1]
% 0.21/0.43  % (11826)First to succeed.
% 0.21/0.43  TRYING [2]
% 0.21/0.43  % (11826)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11820"
% 0.21/0.43  % (11826)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Theorem for theBenchmark
% 0.21/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43  % (11826)------------------------------
% 0.21/0.43  % (11826)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.43  % (11826)Termination reason: Refutation
% 0.21/0.43  
% 0.21/0.43  % (11826)Memory used [KB]: 2773
% 0.21/0.43  % (11826)Time elapsed: 0.033 s
% 0.21/0.43  % (11826)Instructions burned: 61 (million)
% 0.21/0.43  % (11820)Success in time 0.075 s
%------------------------------------------------------------------------------